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Finding the Fourth Proportional to 998.95, 1,377.66 and 605.29

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Solution

The fourth proportional to 998.95, 1,377.66 and 605.29 is: 834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.95 : 1,377.66 = 605.29 : x
  2. Step 2: Convert to fraction form
    998.95/1,377.66 = 605.29/x
  3. Step 3: Cross multiply
    998.95x = 1,377.66 × 605.29
  4. Step 4: Simplify right side
    998.95x = 833,883.82
  5. Step 5: Solve for x
    x = 833,883.82/998.95
  6. Step 6: Final answer
    x = 834.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.